Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
three-dimensional space
|
| gptkbp:describes |
rotation of a vector in 3D
|
| gptkbp:field |
gptkb:geometry
gptkb:mathematics linear algebra |
| gptkbp:form |
v_rot = v cos θ + (k × v) sin θ + k (k · v)(1 − cos θ)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Rodrigues' rotation formula
|
| gptkbp:namedAfter |
gptkb:Olinde_Rodrigues
|
| gptkbp:publishedIn |
1840
|
| gptkbp:relatedTo |
gptkb:Euler's_rotation_theorem
gptkb:Lie_group gptkb:SO(3) quaternion |
| gptkbp:usedFor |
gptkb:axis–angle_representation
rotation matrix |
| gptkbp:variant |
k: unit vector (axis of rotation)
v: vector to rotate θ: angle of rotation |
| gptkbp:bfsParent |
gptkb:Axis-angle_representation
gptkb:Olinde_Rodrigues gptkb:axis-angle_representation |
| gptkbp:bfsLayer |
7
|